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1320103212210 = 2325176551131707
BaseRepresentation
bin10011001101011100010…
…010000111010010110010
311200012102021002110000100
4103031130102013102302
5133112032410242320
62450240321133230
7164242250106456
oct23153422072262
94605367073010
101320103212210
11469941937062
12193a17a8a216
139763cc9b993
1447c7145a666
1524513c7c790
hex1335c4874b2

1320103212210 has 96 divisors (see below), whose sum is σ = 3634748836992. Its totient is φ = 331266931200.

The previous prime is 1320103212199. The next prime is 1320103212221. The reversal of 1320103212210 is 122123010231.

1320103212210 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 321 + 2 + 21 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1320103212199) and next prime (1320103212221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9957177 + ... + 10088883.

It is an arithmetic number, because the mean of its divisors is an integer number (37861967052).

Almost surely, 21320103212210 is an apocalyptic number.

1320103212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1320103212210 is an abundant number, since it is smaller than the sum of its proper divisors (2314645624782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320103212210 is a wasteful number, since it uses less digits than its factorization.

1320103212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138288 (or 138285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320103212210 its reverse (122123010231), we get a palindrome (1442226222441).

The spelling of 1320103212210 in words is "one trillion, three hundred twenty billion, one hundred three million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 6551 13102 19653 32755 39306 58959 65510 98265 111367 117918 131707 196530 222734 263414 294795 334101 395121 556835 589590 658535 668202 790242 1002303 1113670 1185363 1317070 1670505 1975605 2004606 2239019 2370726 3341010 3951210 4478038 5011515 5926815 6717057 10023030 11195095 11853630 13434114 20151171 22390190 33585285 40302342 67170570 100755855 201511710 862812557 1725625114 2588437671 4314062785 5176875342 7765313013 8628125570 12942188355 14667813469 15530626026 25884376710 29335626938 38826565065 44003440407 73339067345 77653130130 88006880814 132010321221 146678134690 220017202035 264020642442 440034404070 660051606105 1320103212210